29582968009 has 9 divisors (see below), whose sum is σ = 34414240941. Its totient is φ = 25355797740.

The previous prime is 29582967989. The next prime is 29582968031. The reversal of 29582968009 is 90086928592.

It is a happy number.

The square root of 29582968009 is 171997.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 29582968009 - 2⁷ = 29582967881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29582962009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1191694 + ... + 1216264.

It is an arithmetic number, because the mean of its divisors is an integer number (3823804549).

Almost surely, 2^29582968009 is an apocalyptic number.

29582968009 is the 171997-th square number.

29582968009 is the 85999-th centered octagonal number.

It is an amenable number.

29582968009 is a deficient number, since it is larger than the sum of its proper divisors (4831272932).

29582968009 is an frugal number, since it uses more digits than its factorization.

29582968009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49156 (or 24578 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 58.

The spelling of 29582968009 in words is "twenty-nine billion, five hundred eighty-two million, nine hundred sixty-eight thousand, nine".